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Simplifying 8(n + 3) + -1(5 + -7n) = 14n Reorder the terms: 8(3 + n) + -1(5 + -7n) = 14n (3 * 8 + n * 8) + -1(5 + -7n) = 14n (24 + 8n) + -1(5 + -7n) = 14n 24 + 8n + (5 * -1 + -7n * -1) = 14n 24 + 8n + (-5 + 7n) = 14n Reorder the terms: 24 + -5 + 8n + 7n = 14n Combine like terms: 24 + -5 = 19 19 + 8n + 7n = 14n Combine like terms: 8n + 7n = 15n 19 + 15n = 14n Solving 19 + 15n = 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 19 + 15n + -14n = 14n + -14n Combine like terms: 15n + -14n = 1n 19 + 1n = 14n + -14n Combine like terms: 14n + -14n = 0 19 + 1n = 0 Add '-19' to each side of the equation. 19 + -19 + 1n = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 1n = 0 + -19 1n = 0 + -19 Combine like terms: 0 + -19 = -19 1n = -19 Divide each side by '1'. n = -19 Simplifying n = -19
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